The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
So for this, we will be simplifying √180 and √125 using the product rule of radicals (√ab = √a * √b)
Starting with √180:
Now with √125:
Now that we have our simplified radicals, our equation looks like this: 6√5 - 5√5 + √5 . Combine everything, and your answer will be 2√5.
Answer:
Negative slope.
Step-by-step explanation:
It is a rule in slope.
Hope this helps! Have a nice day!
Answer:
$2.54
Step-by-step explanation:
You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)
3x-2y=5
3x+y=8
Rewrite the second equation as y = -3x +8
Substitute that into the first equation for y:
3x-2(-3x+8) = 5
Use distributive property:
3x +6x -16 = 5
Combine like terms:
9x - 16 = 5
Add 16 to both sides:
9x = 21
Divide both sides by 9:
x = 21/9
x = 7/3
Replace X in the first equation and solve for y:
3(7/3) -2y = 5
7 - 2y = 5
Subtract 7 from both sides:
-2y = -2
Divide both sides by -2:
y = 1
The solution is (7/3, 1)